全部因式分解 要过程
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2015-02-05 · 知道合伙人教育行家
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1 原式=3x(2-y+3y^2)
=3x(3y+1)(y-1)
2.
原式=(m-n)(m-1)
3. 原式=(3m+3n+4m-4n)(3m+3n-4m+4n)
=(7m-n)(7n-m)
4. 原式=3x[9x^2-(2x-y)^2]
=3x(3x+2x-y)(3x-2x+y)
=3x(5x-y)(x+y
5. 原式=2(m+n)[x^2+4(m+n)]
=2(n+n)(x^2+4m+4n)
6. 原式=5m(m^2-4)
=5m(m+2)(m-2)
7. 原式=[5(a-2b)+2(3a+2b)][5(a-2b)-2(3a+2b)]
=(5a-10b+6a+4b)(5a-10b-6a-4b)
=(11a-7b)(-a-14b)
=-(11a-7b)(a+14b)
8. 原式=(6x^2-5y^2+3x^2+y^2)(6x^2-5y^2-3x^2-y^2)
=(9x^2-4y^2)(3x^2-7y^2)
=(3x+2y)(3x-2y)(3x^2-7y^2)
(1)原式=2011/(2012+2010)(2012-2010)
=2011/(4022*2)
=1/4
(2)原式=(1-1/2)(1+1/2)(1-1/3)(1+1/3)*(1-1/4)*(1+1/4)...*(1-1/9)*(1+1/9)(1-1/10)(1+1/10)
=1/2*3/2*2/3*4/3*3/4*5/4*.....*8/9*10/9*9/10*11/10
=1/2*11/10
=11/20
希望能帮到你, 望采纳, 祝学习进步
=3x(3y+1)(y-1)
2.
原式=(m-n)(m-1)
3. 原式=(3m+3n+4m-4n)(3m+3n-4m+4n)
=(7m-n)(7n-m)
4. 原式=3x[9x^2-(2x-y)^2]
=3x(3x+2x-y)(3x-2x+y)
=3x(5x-y)(x+y
5. 原式=2(m+n)[x^2+4(m+n)]
=2(n+n)(x^2+4m+4n)
6. 原式=5m(m^2-4)
=5m(m+2)(m-2)
7. 原式=[5(a-2b)+2(3a+2b)][5(a-2b)-2(3a+2b)]
=(5a-10b+6a+4b)(5a-10b-6a-4b)
=(11a-7b)(-a-14b)
=-(11a-7b)(a+14b)
8. 原式=(6x^2-5y^2+3x^2+y^2)(6x^2-5y^2-3x^2-y^2)
=(9x^2-4y^2)(3x^2-7y^2)
=(3x+2y)(3x-2y)(3x^2-7y^2)
(1)原式=2011/(2012+2010)(2012-2010)
=2011/(4022*2)
=1/4
(2)原式=(1-1/2)(1+1/2)(1-1/3)(1+1/3)*(1-1/4)*(1+1/4)...*(1-1/9)*(1+1/9)(1-1/10)(1+1/10)
=1/2*3/2*2/3*4/3*3/4*5/4*.....*8/9*10/9*9/10*11/10
=1/2*11/10
=11/20
希望能帮到你, 望采纳, 祝学习进步
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